20161125089280 has 1088 divisors, whose sum is σ = 82955989324800. Its totient is φ = 4607110545408.

The previous prime is 20161125089279. The next prime is 20161125089293. The reversal of 20161125089280 is 8298052116102.

20161125089280 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 112 + 508 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5016451111 + ... + 5016455129.

Almost surely, 2^{20161125089280} is an apocalyptic number.

20161125089280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20161125089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477994662400).

20161125089280 is an abundant number, since it is smaller than the sum of its proper divisors (62794864235520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20161125089280 is an frugal number, since it uses more digits than its factorization.

20161125089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 20161125089280 in words is "twenty trillion, one hundred sixty-one billion, one hundred twenty-five million, eighty-nine thousand, two hundred eighty".